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Finding the Third Proportional to 98,545.50 and 152,896.50

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Solution

The third proportional to 98,545.50 and 152,896.50 is: 237,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,545.50 : 152,896.50 = 152,896.50 : x
  2. Step 2: Convert to fraction form
    98,545.50/152,896.50 = 152,896.50/x
  3. Step 3: Cross multiply
    98,545.50x = 152,896.50 × 152,896.50
  4. Step 4: Simplify right side
    98,545.50x = 23,377,339,712.25
  5. Step 5: Solve for x
    x = 23,377,339,712.25/98,545.50
  6. Step 6: Final answer
    x = 237,223.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.